BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mario Klisse (TU Delft) DTSTART:20221019T190000Z DTEND:20221019T200000Z DTSTAMP:20260420T052530Z UID:NYC-NCG/113 DESCRIPTION:Title: On the isomorphism class of q-Gaussian C*-algebras\nby Mario Klisse (TU Delft) as part of Noncommutative geometry in NYC\n\n\nAbstract\nIn 199 1 Bozejko and Speicher introduced a non-commutative version of Brownian mo tion by defining a family of algebras depending on a parameter −1 ≤ q ≤ 1 that are nowadays commonly known as the q-Gaussian algebras. These a lgebras interpolate between the extreme Bosonic case q = 1 and the Fermion ic case q = −1. For q = 0 they coincide with Voiculescu’s free Gaussia ns. The q-Gaussians can be studied on the level of *-algebras\, on the lev el of C*-algebras\, and on the level of von Neumann algebras. Whereas it i s easily seen that in the *-algebraic setting the q-Gaussians all coincide \, as soon as one passes to the operator algebraic level the question for the dependence on the parameter q becomes notoriously difficult.\n\nAfter introducing the necessary background on q-Gaussians\, by considering the s o-called Akemann-Ostrand property of the canonical inclusion we will discu ss the dependence of the isomorphism class of q-Gaussian C*-algebras on th e parameter q. This partially answers a question by Nelson and Zeng.\n\nTh e talk is baised on joint work with Matthijs Borst\, Martijn Caspers and M ateusz Wasilewski.\n LOCATION:https://researchseminars.org/talk/NYC-NCG/113/ END:VEVENT END:VCALENDAR